Find dimensional formula:
(i) `(dx)/(dt)` (ii) `m(d^(2)x)/(dt^(2))` (iii) `int vdt` (iv) `int adt`
where `x rarr` displacement, `t rarr` time, `v rarr` velocity and `a rarr` acceleration

Options

A. `(dx)/(dt)`
B. `(d^(2)x)/(dt^(2))`
C. `intvdt`
D. `intadt`

Explanation

(i) `[(dx)/(dt)]=[(x)/(t)]=[(L)/(T)]=[M^(0)L^(1)T^(-1)]` (ii) `[m(d^(2)x)/(dt^(2)]=[m(x)/(T^(2))]=[M^(1)L^(1)T^(2)]`
(iii) `[intvdt]=[vt]=[ltLT^()xxT]=[M^(0)L^(1)T^(0)]` (iv) `[intadt]=[at]=[LT^(2)xxT]=[M^(0)L^(1)T^(1)]`